A person is standing 300 feet from the launch point of a hot air balloon. The hot air balloon starts to come back down at a rate of 18 feet per second. (a) What is the rate at which the distance between the person and the hot air balloon is changing at the moment the hot air balloon is 400 feet in the air? (b) What is the rate at which the angle of elevation (the angle created by the ground and the person's line of site to the balloon) is changing at the moment the hot air balloon is 400 feet off the ground?

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.